yes - refridge. gas would be great - but the unit would be huge.
eg: your large home wall mounted AC is normally rated for 8kW (30kBTU's/hr) cooling. Ducted systems go 12-15kW (50kBTU's/hr).
I mean we are talking huge heat pumps....and then there's the crank drain which would be at least a 3rd of that - so -5kW (-7hp)...but the compressor would probably be 4 times the size of our current one.
I was actually wondering if a Rolls Royce had an AC this size??? - That is, if they even makee them that size for big luxury cars (or "stretches" maybe).....Woody may know.

As Woody also indicated, you need 50BTU's/hr (in addition to the suppercooler you already added) to start to talk serious AIT reduction with a stacked pulley setup (>20psi).
Every degree F reduction in AIT is worth about 0.7 hp at the crank - so 18F = 13hp (due to the increase in your density)

Woody...devil's advocate....will there be a bias of temps going up the Y-pipes if the air coming out of the CAC is hotter on one side than the other? Be good to make sure turbulence can take care of that.....
otherwise the right bank might run a little hot.